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141141024 = 25324111953
BaseRepresentation
bin10000110100110…
…10010000100000
3100211120201002100
420122122100200
5242113003044
622001050400
73332451603
oct1032322040
9324521070
10141141024
1172741382
123b326a00
13233197cb
1414a6033a
15c5ce869
hex869a420

141141024 has 72 divisors (see below), whose sum is σ = 411193692. Its totient is φ = 45895680.

The previous prime is 141141001. The next prime is 141141031. The reversal of 141141024 is 420141141.

It can be written as a sum of positive squares in 2 ways, for example, as 140849424 + 291600 = 11868^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141140988 and 141141006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5832 + ... + 17784.

Almost surely, 2141141024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205596846).

141141024 is an abundant number, since it is smaller than the sum of its proper divisors (270052668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141141024 is a wasteful number, since it uses less digits than its factorization.

141141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141141024 is about 11880.2787846077. The cubic root of 141141024 is about 520.6562523135.

Adding to 141141024 its reverse (420141141), we get a palindrome (561282165).

The spelling of 141141024 in words is "one hundred forty-one million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 11953 23906 35859 47812 71718 95624 107577 143436 191248 215154 286872 382496 430308 490073 573744 860616 980146 1147488 1470219 1721232 1960292 2940438 3442464 3920584 4410657 5880876 7841168 8821314 11761752 15682336 17642628 23523504 35285256 47047008 70570512 141141024